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https://en.m.wikipedia.org/wiki/History_of_numerical_weather_prediction

History of Computer Modeling in Weather Forecasting
Early Developments
1920s: The first attempts at numerical weather prediction were made manually.
1948: The first successful use of a computer for weather forecasting occurred with the ENIAC, which produced a forecast using mathematical models.
Key Milestones
1950: The first operational numerical weather prediction was completed, marking a significant advancement in forecasting technology.
1970s-1980s: Development of global and limited-area models improved forecasting capabilities, including tropical cyclone tracking.
Modern Advancements
2007: The Hurricane Weather Research and Forecasting (HWRF) model became operational, enhancing tropical cyclone predictions.
Recent Years: AI and machine learning techniques have been integrated into weather modeling, allowing for longer lead times and improved accuracy.
Computer modeling has been a crucial part of weather forecasting for over 75 years, evolving significantly since its inception in the late 1940s.

Computer modeling for weather forecasting began in 1950 with the first successful numerical prediction made using the ENIAC computer. Since then, it has evolved significantly, utilizing more powerful computers and complex models to improve accuracy.